-3(k-3)-(2k-2)=-6k

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Solution for -3(k-3)-(2k-2)=-6k equation: 


Simplifying
-3(k + -3) + -1(2k + -2) = -6k

Reorder the terms:
-3(-3 + k) + -1(2k + -2) = -6k
(-3 * -3 + k * -3) + -1(2k + -2) = -6k
(9 + -3k) + -1(2k + -2) = -6k

Reorder the terms:
9 + -3k + -1(-2 + 2k) = -6k
9 + -3k + (-2 * -1 + 2k * -1) = -6k
9 + -3k + (2 + -2k) = -6k

Reorder the terms:
9 + 2 + -3k + -2k = -6k

Combine like terms: 9 + 2 = 11
11 + -3k + -2k = -6k

Combine like terms: -3k + -2k = -5k
11 + -5k = -6k

Solving
11 + -5k = -6k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '6k' to each side of the equation.
11 + -5k + 6k = -6k + 6k

Combine like terms: -5k + 6k = 1k
11 + 1k = -6k + 6k

Combine like terms: -6k + 6k = 0
11 + 1k = 0

Add '-11' to each side of the equation.
11 + -11 + 1k = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 1k = 0 + -11
1k = 0 + -11

Combine like terms: 0 + -11 = -11
1k = -11

Divide each side by '1'.
k = -11

Simplifying
k = -11

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